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Finding the Third Proportional to 255,324 and 404,107

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Solution

The third proportional to 255,324 and 404,107 is: 639,589.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,324 : 404,107 = 404,107 : x
  2. Step 2: Convert to fraction form
    255,324/404,107 = 404,107/x
  3. Step 3: Cross multiply
    255,324x = 404,107 × 404,107
  4. Step 4: Simplify right side
    255,324x = 163,302,467,449
  5. Step 5: Solve for x
    x = 163,302,467,449/255,324
  6. Step 6: Final answer
    x = 639,589.18

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.